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Summation notation is used to define the definite integral of a continuous function of one variable on a closed interval. Let's first briefly define summation notation. If f ( i) represents some expression (function) involving i, then has the
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The summation formulas are used to find the sum of any specific sequence without actually finding the sum manually. For example, the summation formula of finding the sum of the first n odd number is n 2. Using this, we can say that
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Here are a couple of formulas for summation notation. n ∑ i=i0cai = c n ∑ i=i0ai ∑ i = i 0 n c a i = c ∑ i = i 0 n a i where c c is any number. So, we can factor constants out of a
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The limits of summation are often understood to mean i = 1 through n. Then the notation below and above the summation sign is omitted. Therefore this expression means sum the values of
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